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How many 5mb mp3 files can be stored on a 1gb flash drive?
f(x)=sin(βx)-x .Using simple fixed-point iteration determine the real root of the function below with initial guess xi=0.5 and iterate until the estimated error πa falls below the level of πs=0.005%.
Sketch and Shade. Given the following critical values and blank normal curve, draw the line then shade
Level of Signifinance
90 %
Critical value
t = -1.282
Level of Signifinance
99%
Critical Value
z= Β± 2.56
Level of Signifinance
95%
Critical Value
z= 1.65
The mean height of random sample of 100 individuals from a population is 160 cms. The
S.D. of the sample is 10cms. Would it be reasonable to suppose that the mean height of the
population is 165cms?
Table Completion. Supply the missing part of the table using the problem stated below.
βA random sample of 200 business managers were administered a develop Managerial Skills Test.
The sample mean and the standard deviation were 78 and 4.2, respectively. In the standardization of the
test, the mean was 73 and the standard deviation was 8. Test for significant difference using πΌ = 0.05
utilizing the p- value method.β
Table Completion. Supply the missing part of the table using the problem stated below.
βA random sample of 200 business managers were administered a develop Managerial Skills Test.
The sample mean and the standard deviation were 78 and 4.2, respectively. In the standardization of the
test, the mean was 73 and the standard deviation was 8. Test for significant difference using πΌ = 0.05
utilizing the p- value method.β
1. Find the domain of the function π(π₯)=ln(β2π₯2βπ₯β6)+βπ₯2β1.
Β
2. Find the inverse function of the function π(π₯)=π₯2β4π₯+5,π₯βγ3,4β©. Find the domain and the range of the inverse function.
Β
3. Construct the tangent line to the graph of the function π(π₯)=4π₯β βπ₯β2β βπ₯ which is parallel to the line π¦=π₯.
Β
4. Find the maximal intervals of monotonicity of the function π(π₯)=ππ₯+3π₯2+2π₯+6.
Β
5. Find the integral β«6β π₯3β ππ₯2+2ππ₯.
Β
6. Find the general solution of the differential equation π₯2+1+π¦β²β cos(π¦)=0.Β
The owner of the drug store chain has 100 drugstore that that sell flexcoslow, a surgical mask that prevents a person from catching liquid droplets of viruses. His operation manager said that the average drugstore in his chain sell 12 boxes of the flexcoslow a day with a standard deviation of 2 boxes. To find out if this is true, the owner randomly selected 10 store and found that the mean is 15 boxes with a standard deviation of 1box.
N= ,n=
"\\mu" =
"\\sigma" 2 =
X=
s=
The different interest rates charged by some financial institutions may reflect how stringent their standards are for their loan appraisals: the lower the rate, the higher the standards, and hence, the lower the default rate. The data below were collected from a sample of eight financial companies selected at random.
Financial company
1
2
3
4
5
6
7
8
Interest rate (in %) x
7.0
6.6
6.0
8.5
8.0
7.5
6.5
7.0
Default rate (in 1000 loans) y
38
40
35
46
48
39
36
37
Β
a/Β Find the least square regression line.
b/ Perform the test H0: b1 = 0, HA: b1 "\\neq" 0 (using Ξ± = 0.05)Β toΒ determine whether there is enough evidence to infer that a linear dependence exists between interest rate (x) and default rate (y).
A relation R is called circular if aRb and bRc imply that cRa. Show that R is
reflexive and circular if and only if it is an equivalence relation.
